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Finding the Third Proportional to 952,687,264 and 2,063,681,668

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Solution

The third proportional to 952,687,264 and 2,063,681,668 is: 4,470,283,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,687,264 : 2,063,681,668 = 2,063,681,668 : x
  2. Step 2: Convert to fraction form
    952,687,264/2,063,681,668 = 2,063,681,668/x
  3. Step 3: Cross multiply
    952,687,264x = 2,063,681,668 × 2,063,681,668
  4. Step 4: Simplify right side
    952,687,264x = 4,258,782,026,839,262,208
  5. Step 5: Solve for x
    x = 4,258,782,026,839,262,208/952,687,264
  6. Step 6: Final answer
    x = 4,470,283,363.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.